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Finding the Third Proportional to 170,137 and 372,837

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Solution

The third proportional to 170,137 and 372,837 is: 817,032.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,137 : 372,837 = 372,837 : x
  2. Step 2: Convert to fraction form
    170,137/372,837 = 372,837/x
  3. Step 3: Cross multiply
    170,137x = 372,837 × 372,837
  4. Step 4: Simplify right side
    170,137x = 139,007,428,569
  5. Step 5: Solve for x
    x = 139,007,428,569/170,137
  6. Step 6: Final answer
    x = 817,032.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.